Yuki Kanakubo

most citedCluster Variables on Certain Double Bruhat Cells of Type

(u, e)

and Monomial Realizations of Crystal Bases of Type A

9 citations · 10 across the 2 of their papers we have counts for

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math.QA2023★ 1 cited

Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type $A_{n - 1}^{(1)}$ , $C_{n - 1}^{(1)}$ , $A_{2 n - 2}^{(2)}$ , $D_{n}^{(2)}$

Yuki Kanakubo

In this paper, we consider polyhedral realizations for crystal bases $B (λ)$ of irreducible integrable highest weight modules of a quantized enveloping algebra $U_{q} (g)$ ,…

math.QA2014★ 9 cited

Cluster Variables on Certain Double Bruhat Cells of Type $(u, e)$ and Monomial Realizations of Crystal Bases of Type A

Yuki Kanakubo, Toshiki Nakashima

Let $G$ be a simply connected simple algebraic group over $C$ , $B$ and $B_{-}$ be two opposite Borel subgroups in $G$ and $W$ be the Weyl group. For $u$ , $v \in W$ , it is kno…

Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type An−1(1)​, Cn−1(1)​, A2n−2(2)​, Dn(2)​

Cluster Variables on Certain Double Bruhat Cells of Type (u,e) and Monomial Realizations of Crystal Bases of Type A

Polyhedral realizations for crystal bases of integrable highest weight modules and combinatorial objects of type $A_{n - 1}^{(1)}$ , $C_{n - 1}^{(1)}$ , $A_{2 n - 2}^{(2)}$ , $D_{n}^{(2)}$

Cluster Variables on Certain Double Bruhat Cells of Type $(u, e)$ and Monomial Realizations of Crystal Bases of Type A